The ban game, v08

[Ren Gaulen]

DIVINE RETRIBUTION! Jairus has just more or less cemented his own ban.

[Jairus]

You're banned because the Doctor just brought me back again... wait, that's not the Doctor. That's the Master.

Oh bugger.

[Ren Gaulen]

Meh. Everyone else has fled the battlefield. Oh, well. I shall ban you then, my old friend. Nothing personal - it is simply my job.

[Jer-oh-me]

Ren is banned for assuming I'd left the battlefeild, I am a sniper, I lurk.

[VSMIT]

Jer is banned because Snipers don't lurk, they camp.

[Jairus]

VSMIT is banned because I guess that makes me a Sniper.

[Ren Gaulen]

No. This is sniper.

And you are his target. Don't bother to run - you are already banned.

[Jairus]

But I've got myself on a Deadman's ban, Gaulen! You ban me, I'm taking you with me!

[Ren Gaulen]

I have no fear in my heart, for I am the LolWut incarnate!

I am banning you, even if it means being banned myself!

[Jairus]

Then let us be banned to hell, Ren Gaulen!

[Ren Gaulen]

Very well! A ban - for glory!

[Jer-oh-me]

Ren is banned for too much awesome.

[Jairus]

Jer-oh-me is banned by the waves of awesome coming off of Ren Gaulen.

[Ren Gaulen]

Jay is banned because everything is going according to my plan.

[Jairus]

...

Ren is banned because that's the most evil monkey I've ever seen.

[Ren Gaulen]

Jairus is banned because the evil monkey have gnawed off his feet. I would even say that he is now utterly de-feeted.

[Jairus]

Ren Gaulen is banned for that horrible pun.

[Ren Gaulen]

Jay is banned because I learned it from llearch. The monkey probably belongs to him, too.

[Jairus]

Ren's banned because what with all that Boxy's got in his box, I wouldn't be surprised.

[llearch n'n'daCorna]

Jairus is banned because the box is empty.

Unless it needs to be otherwise.

[Ren Gaulen]

llearch is banned because I clearly see a sloth inside the box.

[Jairus]

Ren's banned because Boxy is the box that the TARDIS came in. It's no wonder he can store so many things in himself and still look empty.

[Pagan]

Jairus is banned because that actually makes a bit of sense.

[Jairus]

Pagan is banned because I know it does. Here, the mow has a cookie for you...



See?

[llearch n'n'daCorna]

Jubblies is banned because I should be asleep by now.

[Jairus]

Corny is banned so that he can go to bed.

[Jer-oh-me]

Jai is banned cause I wish I could go to bed, but I'm in class.

[Jairus]

I would ban Jer-oh-me for posting in class and not paying attention, but quite frankly I'm guilty of that too.

[Jer-oh-me]

Jai is banned because the Professor wasn't teaching at the moment and I've got the notes to prove I was paying attention:

MTH251 5AUG08

Derivatives of Trig functions
Trig functions are defined as the ratios among x, y, and r. in the circle radius r as theta from 0 to 2pi radians.

Radians is the measure for the angle in a circular sector of radius r and are length s... I remember radians.


Basic Trig Functions:^
Sin theta:=y/r
Cos theta:=x/r
Tan theta:=y/x = sin theta/cos theta

Reciprocal Trig Functions
r/y = 1/sin theta =: Csc theta
r/x = 1/cos theta =:Sec theta
x/y =1/tan theta =:Cot theta

1)   d/dx tan(x) =sec^2(x)

cos(x)(cos(x)) - sin(x)(-sin(x))
-------------------------------------------------
(cos(x))^2

2)    d/dx cot(x) =-csc^2(x)

sin(x)(-sin(x)) - (cos(x)(cos(x))
----------------------------------------
(sin(x)^2)

3)   d/dx csc(x) = -cot(x)csc(x)

The Chain Rule
Suppose F(x)=f(g(x)) and f and g are both d/dx-able functions at x.
Then, F'(x)=f'(g(x))*g'(x)
(i.e. dy/dx = dy/du*du/dx if y=u(x)

F(x)= (1+x^2)^(1/2)      >>      1/2(1+x^2)^(-1/2)*(2x)

F(x)= sin(x^2)      >>      cos(x^2)*(2x)

1) F(x) =cos(e^x)

      -sin(e^x)*e^x

2) F(x) =e^((tan x)^1/2)

      e^((tan x)^1/2)*((1/2(tan x)^-1/2)*sec^2 x)

3) F(x) =e^((tan x)^1/2)*cos(e^x)

      e^(((tan x)^1/2)*cos(e^x))*((1/2(tan x)^-1/2)*sec^2 x)*(-sin(e^x)*e^x)

4) F(x) =(x^2-x+1)^3

5) F(x) =e^(-7x)*sin 4x

6) F(x) =(x+1/x-1)^1/2

[Jairus]

Jer-oh-me is banned because I can understand or guess at about half of that, and I haven't looked at a trig function in about three years.